13813150 has 48 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 5016960.

The previous prime is 13813147. The next prime is 13813153. The reversal of 13813150 is 5131831.

It is an interprime number because it is at equal distance from previous prime (13813147) and next prime (13813153).

It is a super-2 number, since 2×13813150² = 381606225845000, which contains 22 as substring.

Together with 14310050 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51216 + ... + 51484.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^13813150 is an apocalyptic number.

13813150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13813150 is an abundant number, since it is smaller than the sum of its proper divisors (14310050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13813150 is a wasteful number, since it uses less digits than its factorization.

13813150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 13813150 is about 3716.6046332641. The cubic root of 13813150 is about 239.9371942139.

Adding to 13813150 its reverse (5131831), we get a palindrome (18944981).

The spelling of 13813150 in words is "thirteen million, eight hundred thirteen thousand, one hundred fifty".